PLEASE HELP 100 POINTS

A line has a slope of 5/3 and passes through the point (4,6). Write its equation in slope-intercept form.

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer 1

Answer:

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = [tex]\frac{5}{3}[/tex] , then

y = [tex]\frac{5}{3}[/tex] x + c ← is the partial equation

to find c substitute (4, 6 ) into the partial equation

6 = [tex]\frac{5}{3}[/tex] (4 ) + c = [tex]\frac{20}{3}[/tex] + c ( subtract [tex]\frac{20}{3}[/tex] from both sides )

[tex]\frac{18}{3}[/tex] - [tex]\frac{20}{3}[/tex] = c , so

c = - [tex]\frac{2}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{2}{3}[/tex] ← equation of line


Related Questions

A store wants employees to start wearing uniforms to work. The plans to purchase the uniforms and hand out 5 uniforms to every employee one for each day or the week. Uniforms come in packs of 8, and the store plans to purchase 56 packs of uniforms. How many employees can the store give uniforms to?

Answers

Answer:

89 employees

Step-by-step explanation:

Uniforms come in packs of 8, and the store plans to purchase 56 packs of uniforms.

This means

1 pack = 8 uniforms

56 packs = x uniforms

Cross Multiply

x = 56 × 8 uniforms

x = 448 uniforms

The plan is to hand out 5 uniforms to every employee one for each day or the week.

Hence, the number of employees that the store can give can uniforms to is calculated as:

5 uniforms = 1 employee

448 uniforms = x employees

Cross Multiply

5x = 448 × 1 employee

x = 448/5

x = 89.6 employees.

Since a person cannot be represented by decimal, the store can give uniforms to 89 employees

The freshman convention was held at the activity center with 12 567 seats. If 120 seats were not occupied. How many seats were occupied?​

Answers

The answer would be 12447 seats were occupied

Hope this helps

Have a great day/night

Feel free to ask any questions

Please help giving brainliest

Answers

Answer:

this is a scalene triangle. we can see that none of the side lengths and none of the angles are equivalent to each other. that's why it's scalene.

find x or solve for x .​

Answers

X=35 because I know I’m no dummy

(4x+7) (4x-7)=
give the solution pleasee​

Answers

Answer:

16x - 49

Step-by-step explanation:

Answer:

Im not sure 4x+8 and then 4×-7??? do it on your calendar frl amd you can see amd type exactly what the guesting..

Find slope. I NEEDDDD HELPPPPP IMA MARK BRAINLIESTTT

Answers

-1/3


hope this helps :)

Answer:

-1/3

Step-by-step explanation:

PLEASE HELP!!! I need an urgent answer and I'll give brainiest just please answer this easy question!

Answers

do like show in pic

hope it helps you

Find the area of a regular pentagon with an apothem of 8.95 cm and a side length of 13 cm. (round to the nearest whole number)

Answers

Answer:

C) 291 cm^2

Step-by-step explanation:

Sorry it took me so long to answer, but I am taking a test with this question and I want to make sure I got it right on the test before I gave you the answer.

The test I am taking is on USA TESTING and I got 100

Which number line represents the solution to the inequality x - 3 > 2

Answers

Answer: x > 5

Step-by-step explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3 to

both sides of the inequality to get x > 5.

When graphing x > 5, we have an open circle on 5 and the

open circle tells us that 5 is not part of our answer.

Then we draw an arrow going to the right to represent

all possible solutions to this inequality, any number greater than 5.

a b c d e f g h i j k l m n o p q r s t u v w x y z

Answers

Answer:

???

Step-by-step explanation:

Answer:

now i know my abc's

Step-by-step explanation:

What is the solution to the inequality?
n - 15 > -5
pls help ‍♀️

Answers

Step-by-step explanation:

Given inequality

n - 15 > - 5

The inequality can also be written as :

n - 15 = - 5

n = - 5 + 15

n = 10

or

n > 10

Hope it will help :)

Answer:

n>10

Step-by-step explanation:

n-15>-5

n>-5+15

n>10

PLEASE HELP ONLY IF YOUR FOR SURE!! <3 What is the value of x in the figure?

Enter your answer in the box.

x =

Answers

Answer:

68. We just subtract 22 from 90

The equations 3x - 4y = -2,4x-y-4, 3x+4y= 2, and 4x+y=-4 are shown on the graph below.
-5
0
5 X
Which is the approximate solution for the system of equations 3x+4y = 2 and 4x+y=-4?

Answers

Answer:b

Step-by-step explanation:

Evaluate the expression and enter your answer below.

6^2-3

To the power ​

Answers

Answer:

[tex]33[/tex]

Step-by-step explanation:

[tex]6^2-3[/tex]

First we do 6^2:

[tex]6^2\\6*6=36[/tex]

Now we have to subtract by 3:

[tex]36-3=33[/tex]

33 is your final answer.

6^2-3

Start by doing the power

6^2 = 36

Now subtract by the number 3 to get our answer

36-3=33  (Answer)

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Which is equivalent to 72 inches?
O A 0.72 yards
O B. 2 yards
O c. 6 yards
O D. 7.2 yards
O E. 36 yards

Answers

the answer is B because there is 36 inches in 1 yard

Answer:

Its 2 yards

Step-by-step explanation:

divide 72 by 36

Determine the number of operations needed to solve 7c = 84

Answers

Answer:

12

Step-by-step explanation:

7c=84

c=84/7

c=12

Answer:

2

Step-by-step explanation:

You need division and multiplication (division for 84/7 and multiplication to identify 7c = 7 x c), which means 2.

Hope that helps!

A specialty shop procures silver necklaces for 15$ a piece and offers them to customers for 33$ each. What is the mark-up percentage?

Answers

Answer:

54.5%

Step-by-step explanation:

Given data

Cost price= $15

Selling price= $33

Mark up percent =????

%markup= selling-cost/selling*100

substitute

%markup= 33-15/33*100

%markup= 18/33*100

%markup=0.545*100

%markup= 54.5%

Hence the Percent markup is 54.5%

Please help with ALEKS >-< ..................................

Answers

Answer:

4.5

Step-by-step explanation:

From the file, we see that;

Horizontal distance from bottom of ladder to side of house = 2

Length of ladder leaning against side of the house = 4 m.

Now we want to find the distance from the top of the ladder to the ground which we can call d.

Thus we can find it from pythagoras theorem.

d = √(2² + 4²)

d = √(4 + 16)

d = √20

d = 4.47

To the nearest tenth gives;

d = 4.5

pls I neeeed to ace this test.

Answers

Answer:

but

Step-by-step explanation:

moreover is more of a transition that means "also"

furthermore is used as a conclusion

Answer:

But

Step-by-step explanation:

Im pretty sure is the right answer is but it could be while to but is not an option so im a 100% sure is A-But

ILL MARK BRAINLIEST AND 20 POINTS FOR THE FIRST TO HELP! ITS DUE IN 10! PLEASE AND THANKS

Answers

Answer:

7/30

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

it’s a 14 out of 60 chance he draws a yellow. so 14/60 & in simplest form it’s 7/30

Which pair of numbers has a sum of 100?

( A) 39,61

(B) 49,61

(C) 59, 51

(D) 39,51

Answers

Answer:

a

Step-by-step explanation:

 39+61 is the only pair that make 100.

Find the remainder when 2x^3 + 15x^2 + 31x + 12 is divided by (x-1)​

Answers

Answer:

1/

2 3 15 2 31 12

2 1 14 -12 43

__________________

2 1 14 -12 43 -31

so the answer is r=-31

Answer:

remainder = 60

Step-by-step explanation:

Given f(x) divided by (x - h) then the remainder is f(h)

f(x) = 2x³ + 15x² + 31x + 12 , then

f(1) = 2(1)³ + 15(1)² + 31(1) + 12

     = 2 + 15 + 31 + 12 = 60 ← remainder

Brainliest to whoever gets it right: Apply the appropriate mathematical operation to solve this occupation related problem.

Labor rate: $8.75 per hour.
Hours worked: 16
Total price of services: $224

Overhead rate: %

Answers

Answer:

37.5%

Step-by-step explanation:

Labor rate = 8.75 dollars per hour.  

Hours worked = 6

Direct cost of labor = 140 dollars

Total price of services = 224 dollars

Therefore, the overheads = 84 dollars which is

84 X 100 / 224 = 37.5%

Ashley made 2 out of 4 total shots. What percent of her shots did she make?

Answers

Answer:

50%

Step-by-step explanation:

2 divided by 4 is .5

.5 ×100 =50

if you simplify in fraction form it would be 2/4 equals 1/2 which would still give you the same answer

triangle ABD~ triangle DBC the perimeter of triangle ABD=36, fond the perimeter of triangle DBC.

Answers

Answer:

Perimeter of ΔDBC = 48 units

Step-by-step explanation:

It's given in he question,

ΔABD ~ ΔDBC

Therefore, by the definition of similar triangles,

Corresponding sides of both the triangle will be proportional.

[tex]\frac{AB}{DB}= \frac{BD}{BC}= \frac{AD}{DC}[/tex]

[tex]\frac{9}{12}= \frac{12}{16}= \frac{AD}{DC}[/tex]

[tex]\frac{3}{4}=\frac{AD}{DC}[/tex]

AD = [tex]\frac{3}{4}DC[/tex] ----------(1)

Since, perimeter of ΔABD = 36,

AB + BD + AD = 36

9 + 12 + AD = 36

AD = 36 - 21

AD = 15

From equation (1),

15 = [tex]\frac{3}{4}(DC)[/tex]

DC = 20

Perimeter of ΔDBC = DB + BC + DC

                                = 12 + 16 + 20

                                = 48

Therefore, perimeter of ΔDBC = 48 units is the answer.

What is the midpoint between points (4, 7) and (1, 1)?

Answers

Answer:

(2.5, 4)

Step-by-step explanation:

Refer to the formula above. We will sub our points into it.

(4, 7) (1, 1)

(x¹, y¹) (x², y²)

[tex]( \frac{4 +1}{2} \frac{7 + 1}{2} )[/tex]

(5/2, 8/2)

(2.5, 4)

Help me please!!!!!!!!!!!!

Answers

angle 4 is 144
180- angle 3 (36degrees) = 144 degrees

PLEASE HELP ANSWERS ONLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1. 13n+15

2. 12n+18

3. 18n+12

In parallelogram BCDE if m EBC=45 find m DEB

Answers

Answer:

x = 135

Step-by-step explanation:

parallelograms have supplementary angles

180 - 45 = 135

Answer:

x = 135 degrees

Step-by-step explanation:

Because this is a parallelogram, the opposite sides are parallel

45 and x = 180 because they are corresponding congruent angles

180-45=135

Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?

Answers

Answer:

g5654

Step-by-step explanation:

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